What is (2(5/12))/(1-(5/12)^2) ?

The solution to (2(5/12))/(1-(5/12)^2) is 120/119

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simplify (2(5/12))/(1-(5/12)^2)

simplify

\frac{2 ( \frac{5}{12} )}{1 - ( \frac{5}{12} ) ^{2}}

\frac{120}{119}

Decimal Notation

1.00840 \dots

Solution steps

\frac{2 ( \frac{5}{12} )}{1 - ( \frac{5}{12} ) ^{2}}

Apply rule:

(a) = a

(\frac{5}{12}) = \frac{5}{12}

= \frac{2 \cdot \frac{5}{12}}{1 - ( \frac{5}{12} ) ^{2}}

2 \cdot \frac{5}{12} = \frac{5}{6}

= \frac{\frac{5}{6}}{1 - ( \frac{5}{12} ) ^{2}}

Simplify

1 - (\frac{5}{12})^{2} : \frac{119}{144}

= \frac{\frac{5}{6}}{\frac{119}{144}}

Apply the fraction rule:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{5 \cdot 144}{6 \cdot 119}

Cancel

\frac{5 \cdot 144}{6 \cdot 119} : \frac{120}{119}

= \frac{120}{119}

\frac{5 x + 2}{x - 1} = 3

y^{2} - 3 y + 1 = 0

x^{3} - x

4 \cdot 41

2 x^{2} - 10 x + m x - 5 m

What is (2(5/12))/(1-(5/12)^2) ?
The solution to (2(5/12))/(1-(5/12)^2) is 120/119